College

Which answers are elements of the solution set of the inequality? Check all that apply.

[tex]x - 46 \geq -79[/tex]

A. -39
B. 25
C. -45
D. 14
E. -25
F. -33

Answer :

To solve the inequality [tex]\( x - 46 \geq -79 \)[/tex], follow these steps:

1. Add 46 to both sides of the inequality to isolate [tex]\( x \)[/tex]:
[tex]\[
x - 46 + 46 \geq -79 + 46
\][/tex]
This simplifies to:
[tex]\[
x \geq -33
\][/tex]

2. Evaluate each given answer to see if it satisfies the inequality [tex]\( x \geq -33 \)[/tex]:
- A. -39: [tex]\(-39 \geq -33\)[/tex] ➝ False
- B. 25: [tex]\(25 \geq -33\)[/tex] ➝ True
- C. -45: [tex]\(-45 \geq -33\)[/tex] ➝ False
- D. 14: [tex]\(14 \geq -33\)[/tex] ➝ True
- E. -25: [tex]\(-25 \geq -33\)[/tex] ➝ True
- F. -33: [tex]\(-33 \geq -33\)[/tex] ➝ True

Therefore, the elements of the solution set of the inequality [tex]\( x - 46 \geq -79 \)[/tex] are:
- B. 25
- D. 14
- E. -25
- F. -33

Other Questions